The Peer-To-Peer (P2P) technology provides support to build virtual computing system over the internet which is dedicated for large scale computation problems. In such systems to achieve higher scalability and decentralization participating peers are classified into different groups. In P2P computing systems each peer group is responsible to carry out certain functionality of the system. Selection of different peers in these peer groups i.e. grouping criterion is one of the issues which is to be used to improve performance of the P2P computing systems.